MYSTERY PAPER RING.
How many paper rings do you think you would have if you cut one paper ring in half? One? Two?
Cut a strip of paper about one inch wide and about as long as two rulers. Loop the strip into a ring. Give the strip a half twist before pasting the ends of the strip together. See Picture.
Poke a hole in the middle of the strip with scissors. Start to cut along the middle of the strip. Be sure to follow the curve of the paper. When you get back to the starting point, what do you have? Not two rings as you thought you’d have. You have one big ring, instead!
You know what happens when you cut a mystery ring. What do you think will happen if you try to color one side red and the other side green?
Make another mystery ring. Start coloring one side red. Keep coloring until you get back to where you started, so that you know one side of the paper ring is red.
Now, you’re ready to color the other side green. But, what happened? You have no place to color it green. That is because the mystery ring seems to have only one side. This seemingly one-sided ring is called a Mobius strip.
Make another Mobius strip. But this time cut it in thirds. You’ll get another surprise!